540213305 has 16 divisors (see below), whose sum is σ = 699770880. Its totient is φ = 399123648.

The previous prime is 540213281. The next prime is 540213329. The reversal of 540213305 is 503312045.

It is an interprime number because it is at equal distance from previous prime (540213281) and next prime (540213329).

It is a cyclic number.

It is not a de Polignac number, because 540213305 - 2⁶ = 540213241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77657 + ... + 84326.

It is an arithmetic number, because the mean of its divisors is an integer number (43735680).

Almost surely, 2^540213305 is an apocalyptic number.

It is an amenable number.

540213305 is a deficient number, since it is larger than the sum of its proper divisors (159557575).

540213305 is a wasteful number, since it uses less digits than its factorization.

540213305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162040.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 540213305 is about 23242.4892169492. The cubic root of 540213305 is about 814.4324928729.

The spelling of 540213305 in words is "five hundred forty million, two hundred thirteen thousand, three hundred five".